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31334101433131 = 721747997838293
BaseRepresentation
bin1110001111111100010011…
…11111000011101100101011
311002221111210101220111122011
413013332021333003230223
513101334214431330011
6150350404254540351
76412546146434500
oct707761177035453
9132844711814564
1031334101433131
119a90799420732
1236209132076b7
131463a40546093
147a48159794a7
15395112937621
hex1c7f89fc3b2b

31334101433131 has 24 divisors (see below), whose sum is σ = 38602030291200. Its totient is φ = 25272660010752.

The previous prime is 31334101433113. The next prime is 31334101433149. The reversal of 31334101433131 is 13133410143313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31334101433113) and next prime (31334101433149).

It is not a de Polignac number, because 31334101433131 - 215 = 31334101400363 is a prime.

It is a super-2 number, since 2×313341014331312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31334101433093 and 31334101433102.

It is not an unprimeable number, because it can be changed into a prime (31334101433101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78421 + ... + 7916713.

It is an arithmetic number, because the mean of its divisors is an integer number (1608417928800).

Almost surely, 231334101433131 is an apocalyptic number.

31334101433131 is a deficient number, since it is larger than the sum of its proper divisors (7267928858069).

31334101433131 is a wasteful number, since it uses less digits than its factorization.

31334101433131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843123 (or 7843116 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 31334101433131 its reverse (13133410143313), we get a palindrome (44467511576444).

The spelling of 31334101433131 in words is "thirty-one trillion, three hundred thirty-four billion, one hundred one million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 17 49 119 833 4799 33593 81583 235151 571081 3997567 7838293 54868051 133250981 384076357 932756867 6529298069 37615968107 263311776749 639471457819 1843182437243 4476300204733 31334101433131